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# Just think about it

Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal
2 years, 4 months ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero.

- 2 years, 4 months ago

This would only approach 1. Any negative power would be less than 1.

So technically, $$2^{-\infty} = 0$$. But then again, $$-\infty$$ isn't a number.

- 2 years, 4 months ago

But still if we say that 2^-100000000000 it is zero.

- 2 years, 4 months ago

No, it's still not absolute zero.

- 2 years, 4 months ago

So, finally we conclude that anything raise to the power any integer is not zero.

- 2 years, 4 months ago

0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to.

Staff - 2 years, 4 months ago

No, that's the law of logarithm.

- 2 years, 4 months ago

No.

- 2 years, 4 months ago

No. Because 0 is not a number.

- 2 years, 4 months ago

Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity?

- 2 years, 4 months ago